You are asked to verify Kepler's Laws of Planetary Motion. For these exercises, assume that each planet
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You are asked to verify Kepler's Laws of Planetary Motion. For these exercises, assume that each planet moves in an orbit given by the vector- valued function r. Let r = ||r||, let G represent the universal gravitational constant, let M represent the mass of the sun, and let m represent the mass of the planet.
Assume that the elliptical orbit
is in the xy-plane, with L along the z-axis. Prove that 
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L rx r Let r rcos i sin j de dr ...View the full answer
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